Pith Number

pith:LL3DFIHL

pith:2021:LL3DFIHL5XCSOGVP4QR5J532BS

not attested not anchored not stored refs pending

Homotopy Colimits of DG Categories and Fukaya Categories

Dogancan Karabas, Sangjin Lee

arxiv:2109.03411 v3 · 2021-09-08 · math.SG · math.AT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LL3DFIHL5XCSOGVP4QR5J532BS}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings

Receipt and verification

First computed	2026-07-05T04:08:58.579708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af632a0ebedc5271aafe423d4f77a0c8b6c0e23057776b5d055f19706b1abb6

Aliases

arxiv: 2109.03411 · arxiv_version: 2109.03411v3 · doi: 10.48550/arxiv.2109.03411 · pith_short_12: LL3DFIHL5XCS · pith_short_16: LL3DFIHL5XCSOGVP · pith_short_8: LL3DFIHL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LL3DFIHL5XCSOGVP4QR5J532BS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5af632a0ebedc5271aafe423d4f77a0c8b6c0e23057776b5d055f19706b1abb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd0b36f1cf95eb5df1086804d03a26db896cd04eec1c9e832d8b3fd040473013",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-09-08T03:15:28Z",
    "title_canon_sha256": "4fd689d693b0f8f6ae9f2d2d40e2fb529b8848a07e5babc7ee0188637cae5739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03411",
    "kind": "arxiv",
    "version": 3
  }
}